Pith Number

pith:MNM3PPCZ

pith:1998:MNM3PPCZOWEB37TKMORSZE7PEU

not attested not anchored not stored refs pending

An Inversion Inequality for Potentials in Quantum Mechanics

Richard L. Hall

arxiv:quant-ph/9809019 v1 · 1998-09-09 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MNM3PPCZOWEB37TKMORSZE7PEU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:37:52.757105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6359b7bc5975881dfe6a63a32c93ef250a950b4a7a50cfd4e8c0a02d599f6e3e

Aliases

arxiv: quant-ph/9809019 · arxiv_version: quant-ph/9809019v1 · doi: 10.48550/arxiv.quant-ph/9809019 · pith_short_12: MNM3PPCZOWEB · pith_short_16: MNM3PPCZOWEB37TK · pith_short_8: MNM3PPCZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MNM3PPCZOWEB37TKMORSZE7PEU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6359b7bc5975881dfe6a63a32c93ef250a950b4a7a50cfd4e8c0a02d599f6e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e86968dd260fffc84c49f697f91d2efe951c07d34de50c0c8b5eab8d301e687",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-09-09T13:36:09Z",
    "title_canon_sha256": "a43e7bad3e2ff530d029031f71deff835d07438ee8020af016b1c07acffc951a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9809019",
    "kind": "arxiv",
    "version": 1
  }
}